View source for Linear Equations in Two Variables

==Concepts Learning Sessions==
[https://www.youtube.com/watch?v=EwaIdkFXGJ8&feature=youtu.be/ Session # 1]


Before delving into the concepts of Linear Equations in two variables, its important to revisit the basics of Algebra - terms, expressions and 
definition and types of Polynomials. In this session following topics have been covered:
* Terms and Expressions
* Polynomials and their types
* Linear Polynomials
* Linear Equations in two variables
* Why is a Linear Equation called so?
* Meaning of solution of a Linear Equation
* A pair of Linear Equations
* Methods of Solving a pair of Linear Equations.
**Graphical Method
**Algebraic Method : (Methods of Substitution and Elimination have been discussed in this session)

[https://youtu.be/yeLD_YqMBvA/ Session # 2] What are Determinants? 

In this session, a small introduction to Determinants has been made. Cramer's Rule to solve a system of linear equations require the knowledge of Determinants and the method of finding its value. This session would not be sufficient for in-depth knowledge in Determinants.

[https://youtu.be/nkZzvdOuRCM/ Session # 3] Cramer's Rule

In this session, a method of solving a pair of linear equations in two variables using Cramer's Rule has been described.

==Problems==
[https://youtu.be/o_W1HimKLpw/ Problem Solving Session# 1] Solving a pair of linear equations in two variables using the method of "SUBSTITUTION"

[https://youtu.be/ARsDKQcLwVk/ Problem Solving Session# 2] Solving a pair of linear equations in two variables using the method of "ELIMINATION"

[https://youtu.be/uRQ0oTma1BM/ Problem Solving Session# 3] Solving a pair of linear equations in two variables using the method of "CROSS MULTIPLICATION"

[https://youtu.be/Poblj9EJrAQ/ Problem Solving Session# 4] Word Problem on Area of a Rectangle

[https://youtu.be/mfZryzdWLmk/ Problem Solving Session# 5] Consistency of a System of Linear Equations in Two Variables

[https://youtu.be/P7xvDbr-Uwc/ Problem Solving Session# 6] Consistency of a System of Linear Equations in Two Variables

[https://youtu.be/eCM0e_FlDDM/ Problem Solving Session# 7] Solving a system of non-linear equations reducible to linear form

[https://youtu.be/u6uVt6KW3jk/ Problem Solving Session# 8] Word Problem on fractions. "The sum of the numerator and denominator of a fraction is 3 less than twice the denominator. If the numerator and denominator are reduced by 1,  the numerator becomes half the denominator. Determine the fraction."  

[https://youtu.be/sl-M29Sg3P8/ Problem Solving Session# 9] Word Problem on numbers and digits. "A two digit number is 3 more than 4 times the sum of digits. If 18 is added to the number, the digits are reversed. Find the number."